Question

use the distributive property to expand the linear expression.
3(4x + 3)
a \\(\frac{3}{4}\\)
b 12x + 6
c 12x + 9
d \\(-\frac{3}{4}\\)

Explanation:

Step1: Recall distributive property

The distributive property is \(a(b + c)=ab+ac\). Here, \(a = 3\), \(b = 4x\), \(c = 3\).

Step2: Apply distributive property

Multiply 3 with each term inside the parentheses: \(3\times4x+3\times3\).

Step3: Simplify the terms

\(3\times4x = 12x\) and \(3\times3=9\), so the expression becomes \(12x + 9\).

Answer:

C. \(12x + 9\)